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Calculez \(\left( \dfrac{1}{2}+\dfrac{6}{7}-\dfrac{1}{14}\right) \cdot \left( \dfrac{2}{3}-\dfrac{3}{4}\right)\).
\(-\dfrac{3}{28}\)
\(-\dfrac{6}{5}\)
\(-\dfrac{1}{28}\)
\(\dfrac{3}{28}\)
Calculez \(\left(\dfrac{1}{x}+\dfrac{1}{y}\right)/\left(\dfrac{1}{x^2}-\dfrac{1}{y^2}\right)\).
\(\dfrac{1}{y-x}\)
\(\dfrac{x^2y+x^3-y^3-xy^2}{xy}\)
\(x-y\)
\(\dfrac{xy}{y-x}\)
Si \(a=0,2\), \(b=-0,1\) et \(c=-0,5\), calculez \((\frac{a}{b}+\frac{b}{c})\cdot \frac{c}{a}\).
\(\dfrac{9}{2}\)
\(-\dfrac{4}{3}\)
\(0,03\)
\(-5\)
Calculez \(\dfrac{3x+3y}{x^2-y^2}+\dfrac{7x-7y}{x^2-2xy+y^2}\).
\(\dfrac{10}{x-y}\)
\(\dfrac{10}{x+y}\)
\(\dfrac{10x-4y}{(x-y)^2}\)
\(\dfrac{10x-4y}{(x-y)^2(x+y)}\)
L'expression \(\dfrac{2/3+3/4}{5/6-7/8}\) vaut
\(\dfrac{5}{7}\)
\(-\dfrac{2}{35}\)
\(-34\)
\(-\dfrac{17}{288}\)
Ecrivez l'expression \(\displaystyle{\frac{1}{5\sqrt[3]{25}}}\) sous forme de puissance.
\(5^{-5/3}\)
\(5^{-10/3}\)
\(5^{3/5}\)
impossible
Calculez \(\dfrac{\sqrt{6}}{2\sqrt{3}-5\sqrt{2}}\).
\(2\sqrt{3}+\dfrac{15\sqrt{2}}{2}\)
\(-\dfrac{1}{19}(3\sqrt{2}+5\sqrt{3})\)
\(-\dfrac{3}{2}\)
\(\dfrac{3\sqrt{2}}{11}+\dfrac{5\sqrt{3}}{11}\)
Calculez \(\left(\dfrac{5}{16}\left(\dfrac{3}{10}+\dfrac{1}{2}\right)-\dfrac{1}{8}\right)\left(-\dfrac{5}{2}\right)\).
\(-\dfrac{5}{2}\)
\(0\)
\(-\dfrac{5}{16}\)
\(-\dfrac{19}{8}\)
Simplifiez la fraction \(\dfrac{3x^2-xy}{6xy-2y^2}\).
\(\dfrac{x}{2y(1-y)}-\dfrac{1}{2(3-y^2)}\)
\(\dfrac{x}{2y}\)
\(\dfrac{x^2}{2-2y^2}\)
Calculez \(\left(\dfrac{x-y}{x+y}\right)/\left(\dfrac{x^2-y^2}{x^2+2xy+y^2}\right)\).
\(\dfrac{x+y}{x-y}\)
\(\left( \dfrac{x-y}{x+y}\right)^2\)
1
\(-1\)